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Límites y Continuidad

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Cuestionario orientado al desarrollo de habilidades para analizar el comportamiento de funciones mediante el estudio de límites y continuidad,

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Ecuador

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Límites y Continuidad
 

Límites y ContinuidadOnline version

Cuestionario orientado al desarrollo de habilidades para analizar el comportamiento de funciones mediante el estudio de límites y continuidad,

by RONALD RENÉ VIVANCO CÓRDOVA
1

¿Qué representa el límite de una función en un punto?

2

2) Calcula el siguiente límite: lim (2x+3). x→2

3

Determina el valor del siguiente límite: lim (x2−1) x→2

4

Ejercicio de identificación (Opción múltiple) La función f(x)= (x2−4​) / (x-2) Presenta una discontinuidad en:

Explicación

El valor al que se aproxima la función cuando la variable se acerca a un punto determinado.

Sustituye x por 2 en la expresión: 2(2)+3 = 7. Los otros valores no se obtienen al evaluar en x→2.

En x=2 el denominador se hace cero, por lo que la función no está definida en ese punto.

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